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monitta
3 years ago
11

You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio

n is 318,270. By about what percentage has the city grown over the past ten years?
Can anyone explain this one?
Mathematics
2 answers:
larisa [96]3 years ago
6 0

Answer:

27.52%

Step-by-step explanation:

Given that an urban planner wants to assess the growth of a city

Population of the city before 10 years = 249583

Current population                                = 318270

Population grown                                  =318270-249583  = 68687

Relative growth = growth/original population

Relative growth =\frac{68687}{249583}\\=0.2752

Percent growth = relative growth x100

Hence percent growth = 0.2752x100

27.52%

solmaris [256]3 years ago
4 0
318,270-249,583=68,687\\\\\begin{array}{ccc}249,583&-&100\%\\68,687&-&p\%\end{array}\\\\cross\ multiply\\\\249,583p=68,687\cdot100\ \ \ \ /:249,583\\\\p\approx27.52\\\\Answer:\\The\ city\ grown\ over\ the\ past\ ten\ years\ at\ 27.52\%.
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2 years ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

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The perimeter is given by:

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I hope it helps you!          

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2 years ago
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Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.

I'll help you by example.  Let's look at the first problem:

"Evaluate  6(z-1) at z-4."

Due to "order of operations" rules, we must do the work inside the parentheses FIRST.  Replace the z inside (z-1) with "-4".  We obtain

6(-4-1) = 6(-5) = -30 (answer.)

Your turn.  Try the next one.  If it's unclear, as questions.
8 0
3 years ago
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